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Finding the Fourth Proportional to 127.59, 191.03 and 101.95

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Solution

The fourth proportional to 127.59, 191.03 and 101.95 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.59 : 191.03 = 101.95 : x
  2. Step 2: Convert to fraction form
    127.59/191.03 = 101.95/x
  3. Step 3: Cross multiply
    127.59x = 191.03 × 101.95
  4. Step 4: Simplify right side
    127.59x = 19,475.51
  5. Step 5: Solve for x
    x = 19,475.51/127.59
  6. Step 6: Final answer
    x = 152.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.